The number 73143
73143 is a composite number with 24 divisors. Its prime factorisation is × 7 × 43. Divisors (24): 1, 3, 7, 9, 21, 27, 43, 63, 81, 129, 189, 243, 301, 387, 567, 903 … 73143.
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How to work it out
- 1
73143 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73143 is composite. Its prime factorisation is
- 3
The divisors add up to 128128; without 73143 itself that is 54985, so 73143 is deficient (54985 is less than 73143). Euler's totient φ(73143) = 40824 numbers up to 73143 share no factor with it.
- 4
The digits of 73143 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73143 = 3^{5} \times 7 \times 43 \]73143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 128128 |
| Euler totient φ(n) | 40824 |
| Square | 5349898449 |
| Cube | 391307622255207 |
| Square root | 270.449626 (= 9√903) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 148 |
| Scientific notation | 7.3143 × |
73143 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and forty-three |
| Binary (base 2) | 10001110110110111 |
| Octal (base 8) | 216667 |
| Hexadecimal (base 16) | 11DB7 |
| Base 3 | 10201100000 |
| As time | 73143 seconds = 20 h 19 min 3 s |
Is 73143 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73143 ÷ 3 = 24381) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73143 ÷ 7 = 10449) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73143 ÷ 9 = 8127) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73143 a prime number?
No. 73143 = × 7 × 43, so it is divisible by 3.
What are the factors of 73143?
1, 3, 7, 9, 21, 27, 43, 63, 81, 129, 189, 243, 301, 387, 567, 903, 1161, 1701, 2709, 3483, 8127, 10449, 24381, 73143.
What is 73143 in binary?
10001110110110111 (hexadecimal 11DB7, octal 216667).
What is the square root of 73143?
About 270.4496, exactly 9√903.
Is 73143 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73143?
It is a composite number with 24 divisors.